Theorems · Definition · commutative algebra

RingHom.ker

{R : Type u} →
  {S : Type v} →
    {F : Type u_1} →
      [inst : Semiring R] → [inst_1 : Semiring S] → [inst_2 : FunLike F R S] → [rcf : RingHomClass F R S] → F → Ideal R

Kernel of a ring homomorphism as an ideal of the domain.

Defined in

Mathlib.RingTheory.Ideal.Maps

Cited by

363 results in Mathlib

Foundations

Depth 18 from the axioms, rests on 204 definitions · uses propext, Quot.sound

Assumes

SemiringSemiringFunLikeRingHomClass